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Finding the Fourth Proportional to 405.86, 607.82 and 232.16

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Solution

The fourth proportional to 405.86, 607.82 and 232.16 is: 347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.86 : 607.82 = 232.16 : x
  2. Step 2: Convert to fraction form
    405.86/607.82 = 232.16/x
  3. Step 3: Cross multiply
    405.86x = 607.82 × 232.16
  4. Step 4: Simplify right side
    405.86x = 141,107.29
  5. Step 5: Solve for x
    x = 141,107.29/405.86
  6. Step 6: Final answer
    x = 347.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.